A legislative committee consists of 7 democrats and 8 republicans. A delegation of 3 is to be selected to visit a small island republic. Complete parts (a) through (d) below. (a) how many different delegations are possible? -the 3 delegates can be selected __ different ways (b) how many delegations would have all democrats? - the 3 delegates can be selected __ different ways if all 3 are democrats. (c) how many delegations would have 2 democrats and 1 republican? -The 3 delegates can be selected __ different ways if 2 are democrats and 1 is a republican

A legislative committee consists of 7 democrats and 8 republicans. A delegation of 3 is to be selected to visit a small island republic. Complete parts (a) through (d) below. (a) how many different delegations are possible? -the 3 delegates can be selected different ways (b) how many delegations would have all democrats? - the 3 delegates can be selected different ways if all 3 are democrats. (c) how many delegations would have 2 democrats and 1 republican? -The 3 delegates can be selected __ different ways if 2 are democrats and 1 is a republican

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: A committee has 20 people. In how many ways can a President, Vice-President, and Secretary be…

A: Note: Permutation: We kno that, nPr represents the selection an ordered set of ‘r’ objects from a…

Q: A legislative committee consists of 8 Democrats and 10 Republicans. A delegation of 4 is to be…

Q: |(a) How many ways can this be done, if the order of the choices matters? (b) How many ways can this…

A: Letters - A,B,C n= 3 r = 2

Q: A boy owns 10 pairs of pants, 7 shirts, 4 ties, and 8 jackets. (a) How many outfits can he wear to…

A: a) Given that the boy owns 10 pairs of pants, 7 shirts, 4 ties, and 8 jackets. All items are…

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is There are Two grade 11 and two grade 10 students There are also 60…

Q: Baseball teams have an active roster of 25 players, but only 9 players play in the field at once. Of…

A: The given data is as follows:The objective is to compute the number of ways in which one can choose…

Q: are possible? (a) How many different delegations The 4 delegates can be selected different ways. (b)…

A: Solution: The total number of delegates to be chosen is 4. The number of available resources to…

Q: There are 58 runners in a race. How many ways can the runners finish first, second, and third? There…

A: From the given information, total number of runners = 58. The objective is to find the number of…

Q: A group of 10 people in s choosing a Chairperson and Vice President. They put all 10 people's names…

Q: How many committees of four can be formed from 16 Republicans and 20 Democrats if two members of…

Q: 1. A student found 8 Mathematics books in the library. The library rules permit him to check out…

Q: Suppose there are 100 cans of green beans in a grocery store, and 75 of these are "Best Deal" brand…

A: There are 100 cans of green beans in grocery store. And 75 cans of these are "Best Deal" brand green…

Q: There are 20 members of the debate team, including 9 girls and 11 boys. Complete parts (a) through…

A: Given 20 members=9 girls and 11 boys r!=r(r-1)(r-2)x...x3x2x1

Q: How many different committees of 3 people can be formed from a pool of 7 people? A We need to pick a…

A: Given: There is a pool of 7 people.

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given : Total no of people= 11 Paolo and Hazel sit next to each other.

Q: Five high-profile guests, A, B, C, D and E, are invited to a corporate dinner party. In how many…

A: Given : Five people(A,B,C,D,E) are invited to a party.

Q: . How many different ways are there of handing out the prizes if (a) the prizes are all the same?…

A: A kindergarten class has 18 children. FIve of the children are selected to receive prizes. Here use…

Q: here are five bus lines from city A to city B and four bus lines from city B to city C. Find the…

A: Given that Number of Bus lines from city A to City B = 5 Number of Bus lines from city B to city C…

Q: The principal wants to have a teacher committee on non-semestering. There are 11 secondary teacher…

A: Determine the number of ways that the principal can form a committee of 5 if there must be at least…

Q: Eight freshmen and eight sophomores want to play flag football. At URI, a flag foot- ball team must…

A: Eight freshmen and eight sophomores want to play flag football a flag foot- ball team must have…

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

Q: Los Angeles Dodgers. From the official website of the 2013 Los Angeles Dodgers major league baseball…

A: Given info:Five active players available on roster to play outfield.

Question

A legislative committee consists of 7 democrats and 8 republicans. A delegation of 3 is to be selected to visit a small island republic. Complete parts (a) through (d) below.

(a) how many different delegations are possible?

-the 3 delegates can be selected __ different ways

(b) how many delegations would have all democrats?
- the 3 delegates can be selected __ different ways if all 3 are democrats.

-The 3 delegates can be selected __ different ways if 2 are democrats and 1 is a republican

(d) how many delegations would include at least 1 republican?

the 3 delegates can be selected __ different ways if at least 1 is a republican.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A class of 40 students is to choose a set of classroom officers composed of the President, Vice-President, Secretary, and Treasurer. In how many ways can the classroom officers be chosen?
In the local boating pond there are 10 plain wooden boats, each with a different number. The owner decides that some of these boats will be painted: one in blue, one in green, one in red, and one in orange, and the remaining ones left unpainted. How many ways are there to paint the boats? The number of ways is
A boy owns 10 pairs of pants, 5 shirts, 7 ties, and 8 jackets.(a) How many outfits can he wear to school if he must wear one of each item? (b) How many outfits can he wear to school if he must wear pants, shirt and a jacket, but the tie is optional? Submit QuestionQuestion 1
there are 18 people from the mathematics department and 325 people from the computer science department in a collegea. how many ways are there to get two representatives?so that one person is from the mathematics department and the other is from the computer science department?b. how many ways are there to get one elected representative, from a combination of the two majors?
In how many ways can Mrs. Smith give a chocolate bar, a bag of potato chips, and a can of cane juice to 3 of the 21 students in her class, one item per student?
A government office has four regional offices and 32 local offices. In how many different ways can it send a memo fro one of the regional offices to one of its local ofices?
A legislative committee consists of 4 Democrats and 9 Republicans. A delegation of 4 is to be selected to visit a small island republic. Complete parts (a) through (d) below. (a) How many different delegations are possible? The 4 delegates can be selected different ways. (b) How many delegations would have all Democrats? The 4 delegates can be selected different ways if all 4 are Democrats (c) How many delegations would have 3 Democrats and 1 Republican? The 4 delegates can be selected different ways if 3 are Democrats and 1 is a Republican (d) How many delegations would include at least 1 Republican? The 4 delegates can be selected different ways if at least 1 is a Republican,
A basket contains 2 pink, 3 yellow, 8 red, and 1 black jelly beans. You grab a handful of 4 jelly beans. (a) How many groups of 4 jelly beans include exactly 1 of each color? (b) How many groups of 4 jelly beans include at most 1 yellow?
There are 54 runners in a race. How many ways can the runners finish first, second, and third? There are different ways that the runners can finish first through third. (Type a whole number.) ←